Journal
Turkish Journal of Science
Volume & Issue
Volume 8, Issue 2
Published on
September 16, 2023
Pages
51-63
DOI
Article
Generalized Jensen-Hermite-Hadamard Mercer Type Inequalities for Generalized Strongly Convex Functions on Fractal Sets
Authors
Saad Ihsan Butt
Abstract
In this paper, we present a variant of discrete Jensen-type inequality for generalized strongly convex functions on a real linear fractal set Rα ( 0 < α ≤ 1). Further, we also demonstrate a generalized Jensen–Mercer type inequality for generalized strongly convex function by employing local fractional calculus. Using this generalized Jensen-Mercer inequality, we establish a Hermite-Hadamard-Mercer type inequalities for generalized strongly convex functions.